c please survey of1000adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that58%of the females and51%of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of600females,348reported window tinting as their preferred luxury upgrade of choice, while of400males,204reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the0.05level of significance? State the null and alternative hypotheses, whereπ1is the population proportion of females who said they prefer window tinting as a luxury upgrade andπ2is the population proportion of males who said they prefer window tinting as a luxury upgrade. A.H0:π1=π2H1:π1≠π2Your answer is correct. B.H0:π1=π2H1:π1>π2 C.H0:π1≠π2H1:π1=π2 D.H0:π1≠π2H1:π1<π2 E.H0:π1≠π2H1:π1>π2 F.H0:π1=π2H1:π1<π2Determine the value of the test statistic. ZSTAT=2.182.18(Type an integer or a decimal. Round to two decimal places as needed.)Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are)negative 1.96 comma 1.96−1.96, 1.96.(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)State the conclusion. Reject the null hypothesis. There issufficient evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.b. Find the p-value in (a) and interpret its meaning. The p-value in part (a) is0.02920.0292.(Type an integer or a decimal. Round to three decimal places as needed.)What does the p-value mean? A.The p-value is the probability of falsely rejecting the null hypothesis.Your answer is not correct. B.The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.This is the correct answer. C.The p-value is the probability that the null hypothesis is true. D.The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.c. Construct and interpret a95%confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade. The confidence interval is0.00710.0071to0.13290.1329.(Type integers or decimals. Round to four decimal places as needed. Use ascending order.)What does the confidence interval mean? A researcher can be▼ confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is▼ the interval. A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of themales answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting astheir preferred luxury upgrade of choice. Complete parts (a) through (d) below.ZSTAT = 2.18 (Type an integer or a decimal. Round to two decimal places as needed.)Determine the critical value(s) for this test of hypothesis.The critical value(s) is (are) - 1.96, 1.96.(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)State the conclusion.Rejectthe null hypothesis. There issufficient evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.b. Find the p-value in (a) and interpret its meaning.The p-value in part (a) is 0.0292.(Type an integer or ato three decimal places as needed.)What does the p-valu1%A. The p-value isof falsely rejecting the null hypothesis.*B. The p-value is5%of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.O C. The p-value ishat the null hypothesis is true.90%O D. The p-value isof rejecting the null hypothesis if the test were repeated for different samples.c. Construct and intei95%idence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade.The confidence inter10%0.1329(Type integers or decfour decimal places as needed. Use ascending order.)99%What does the confidan?A researcher can beV confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade isthe interval. A survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of themales answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting astheir preferred luxury upgrade of choice. Complete parts (a) through (d) below.ZSTAT = 2.18 (Type an integer or a decimal. Round to two decimal places as needed.)Determine the critical value(s) for this test of hypothesis.The critical value(s) is (are) - 1.96, 1.96.(Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.)State the conclusion.Rejectthe null hypothesis. There issufficient evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade.b. Find the p-value in (a) and interpret its meaning.The p-value in part (a) is 0.0292.(Type an integer or a decimal. Round to three decimal places as needed.)What does the p-value mean?CA. The p-value is the probability of falsely rejecting the null hypothesis.B. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.O C. The p-value is the probability that the null hypothesis is true.O D. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.c. Construct and interpret a 95% confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a ligreater than the upper bound ofThe confidence interval is 0.0071 to 0.1329.(Type integers or decimals. Round to four decimal places as needed. Use ascending order.)contained inless than the lower bound ofWhat does the confidence interval mean?A researcher can beV confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade isthe interval.

Identify the correct options for the blanks of the confidence interval obtained. The correct options for the blanks of the confidence interval obtained is obtained below as follows : From the information, given that The 95% confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade is from 0.0071 to 0.1329The confidence interval mean for the given data is interpreted as follows : It is clear that the confidence interval is calculated for 95% and moreover the 0 is not in the confidence interval which means that the null hypothesis is rejected and from part b it is clear that there are differences between the proportions. Therefore, A researcher can be 95% confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is contained in the interval.

Math

Statistics

c please survey of 1000 adults from a certain region asked, "If purchasing a used car made certain upgrades or features more affordable, what would be your preferred luxury upgrade?" The results indicated that 58% of the females and 51% of the males answered window tinting. The sample sizes of males and females were not provided. Suppose that of 600 females, 348 reported window tinting as their preferred luxury upgrade of choice, while of 400 males, 204 reported window tinting as their preferred luxury upgrade of choice. Complete parts (a) through (d) below. a. Is there evidence of a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade at the 0.05 level of significance? State the null and alternative hypotheses, where π1 is the population proportion of females who said they prefer window tinting as a luxury upgrade and π2 is the population proportion of males who said they prefer window tinting as a luxury upgrade. A. H0: π1=π2 H1: π1≠π2 Your answer is correct. B. H0: π1=π2 H1: π1>π2 C. H0: π1≠π2 H1: π1=π2 D. H0: π1≠π2 H1: π1<π2 E. H0: π1≠π2 H1: π1>π2 F. H0: π1=π2 H1: π1<π2 Determine the value of the test statistic. ZSTAT=2.182.18 (Type an integer or a decimal. Round to two decimal places as needed.) Determine the critical value(s) for this test of hypothesis. The critical value(s) is (are) negative 1.96 comma 1.96−1.96, 1.96. (Type integers or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) State the conclusion. Reject the null hypothesis. There is sufficient evidence to support the claim that there is a difference between males and females in the proportion who said they prefer window tinting as a luxury upgrade. b. Find the p-value in (a) and interpret its meaning. The p-value in part (a) is 0.02920.0292. (Type an integer or a decimal. Round to three decimal places as needed.) What does the p-value mean? A. The p-value is the probability of falsely rejecting the null hypothesis. Your answer is not correct. B. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true. This is the correct answer. C. The p-value is the probability that the null hypothesis is true. D. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples. c. Construct and interpret a 95% confidence interval estimate for the difference between the proportion of males and females who said they prefer window tinting as a luxury upgrade. The confidence interval is 0.00710.0071 to 0.13290.1329. (Type integers or decimals. Round to four decimal places as needed. Use ascending order.) What does the confidence interval mean? A researcher can be ▼ confident that the difference in the population proportions of males and females who said they prefer window tinting as a luxury upgrade is ▼ the interval.